In a circle with centre O, AB is a diameter and C is a point on the circle. If angle CAB = 35°, find angle ACB and angle ABC.
Circles
Original Khojo Papers practice question — not from a past board paper.
PT = 2√15 ≈ 7.75 cm
No citable source has been recorded for this record. Treat it as practice material, not as fact.
PB = PA + AB = 12 cm. By the tangent–secant relation PT2 = PA × PB = 5 × 12 = 60, so PT = √60 = 2√15 cm.
From the same topic and chapter, at a similar level.
In a circle with centre O, AB is a diameter and C is a point on the circle. If angle CAB = 35°, find angle ACB and angle ABC.
Circles
Two chords AB and CD of a circle intersect inside the circle at P. If PA = 4 cm, PB = 6 cm and PC = 3 cm, find PD.
Circles
In a circle with centre O, the angle AOB at the centre is 100°. Find the angle ACB at a point C on the major arc.
Circles
State the angle in a semicircle theorem.
Circles
From an external point P two tangents PA and PB are drawn to a circle with centre O. If angle APB = 60°, find angle AOB.
Circles
In a cyclic quadrilateral ABCD, angle A = 70°. Find angle C.
Circles